Solve the Quadratic Equation: Find x in x² - 20 = 5

Question

Solve the following exercise:

x220=5 x^2-20=5

Video Solution

Solution Steps

00:00 Find X
00:03 Isolate X
00:13 Extract root
00:17 When extracting a root there are always 2 solutions (positive, negative)
00:20 And this is the solution to the question

Step-by-Step Solution

To solve this quadratic equation x220=5 x^2 - 20 = 5 , we will follow these steps:

  • Step 1: First, add 20 to both sides of the equation to isolate the x2 x^2 term:

x220+20=5+20 x^2 - 20 + 20 = 5 + 20

This simplifies to:

x2=25 x^2 = 25

  • Step 2: Next, take the square root of both sides to solve for x x :

x=±25 x = \pm \sqrt{25}

x=±5 x = \pm 5

Therefore, the solutions to the equation are:

x=5 x = 5 and x=5 x = -5

Thus, the correct answer choice is:

  • ±5 \pm 5 from the provided options.

The correct solution to the problem is ±5 \pm 5 .

Answer

±5